Statistical moments of the Strehl ratio

Natalia Yaitskova; Michael Esselborn; Szymon Gladysz

doi:10.1117/12.924815

13 September 2012 Statistical moments of the Strehl ratio

Natalia Yaitskova, Michael Esselborn, Szymon Gladysz

Proceedings Volume 8447, Adaptive Optics Systems III; 84475Y (2012) https://doi.org/10.1117/12.924815
Event: SPIE Astronomical Telescopes + Instrumentation, 2012, Amsterdam, Netherlands

Abstract

Knowledge of the statistical characteristics of the Strehl ratio is essential for the performance assessment of the existing and future adaptive optics systems. For full assessment not only the mean value of the Strehl ratio but also higher statistical moments are important. Variance is related to the stability of an image and skewness reflects the chance to have in a set of short exposure images more or less images with the quality exceeding the mean. Skewness is a central parameter in the domain of lucky imaging. We present a rigorous theory for the calculation of the mean value, the variance and the skewness of the Strehl ratio. In our approach we represent the residual wavefront as being formed by independent cells. The level of the adaptive optics correction defines the number of the cells and the variance of the cells, which are the two main parameters of our theory. The deliverables are the values of the three moments as the functions of the correction level. We make no further assumptions except for the statistical independence of the cells.

Citation Download Citation

Natalia Yaitskova, Michael Esselborn, and Szymon Gladysz "Statistical moments of the Strehl ratio", Proc. SPIE 8447, Adaptive Optics Systems III, 84475Y (13 September 2012); https://doi.org/10.1117/12.924815

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